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Finding the Fourth Proportional to 9,582.59, 14,373.96 and 3,342.59

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Solution

The fourth proportional to 9,582.59, 14,373.96 and 3,342.59 is: 5,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.59 : 14,373.96 = 3,342.59 : x
  2. Step 2: Convert to fraction form
    9,582.59/14,373.96 = 3,342.59/x
  3. Step 3: Cross multiply
    9,582.59x = 14,373.96 × 3,342.59
  4. Step 4: Simplify right side
    9,582.59x = 48,046,183.09
  5. Step 5: Solve for x
    x = 48,046,183.09/9,582.59
  6. Step 6: Final answer
    x = 5,013.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.